C 211 ) 
& Newconiana & Mea dijferunt in nonnullis. Here alfo 
Mr. Leibnitz, allows that when -Mr. Newtons Principles of 
Philofophy came abroad, he underftood thereby the Affinity 
that there was between the Methods* and therefore called 
them both by the common Name of the infinitefimal Method, 
and thought himfelf bound in candour to acknowledge this 
Affinity : and there is (till the fame Obligation upon him in 
point of Candour. And befides this Acknovvled. ment, he 
here gives the Preference to Mr. Newtons Method in Anti- 
quity. For he reprefents that as the vulgar Analysis in Spe- 
cies was invented by Vieta, and augmented by Cartes, which 
made fome Differences between their Methods : fo 
Mr. Newton's Method and his own might differ in fome 
things. And then he goes On to enumerate the Differences 
by which he had improved Mr. Newtons Method as We men- 
tioned above. And this Subordination of his Method 
to Mr. Newtons, which he then acknowledged to Dr. Wallis , 
he ought ftill to acknowledge. 
In enumerating the Differences or Improvements which 
he had added to Mr. Newton's Method ; he names in the fe- 
cond Place Differential Equations .• but the Letters which 
paffed between them in the Year 1676, do Ihow that 
Mr. Newton had fuch Equations at that time, and Mr. Leib- 
nitz had them not. He names in the third Place Exponen- 
tial Equations : but thefe Equations are owing to his Cor- 
refpondence with the Englijh. Dr. Wallis, in the ’Interpola- 
tion of Series, confidered Fradt and Negative Indices of 
Dignities. Mr. Newton introduced into his Analytical 
Computations, the Fradt, Surd, Negative and Indefinitive 
Indices of Dignities ; and in his Letter of Oftaber 24. 1676, 
reprefented to Mr. Leibnitz that his Method extended to the 
Refolution of affedted Equations involving Dignities whole 
Indices were Fradt or Surd. Mr. Leibnitz in his Anfwer da- 
ted June 11.1677, mutually defired Mr. Newton to tell him 
what he thought of the Refolution of Equations involving 
